Dr. Donald Franceschetti
Physics Department, The University of Memphis
October 1, 2008, 4:00pm, Manning Hall 201
Refreshments served at 3:30pm, Manning Hall 222
One-dimensional problems are often used to teach the basics of quantum mechanics.
The problems considered often involve wave functions with a cusp or corner, that is,
a point where the wave function is continuous but its first derivative is not.
I will show that it is nonetheless possible to express the second derivative and
thus the kinetic energy of the particle described by the wave equation even at the
This approach is used to explore the energetics of particles moving in a potential with multiple delta function wells. Implications
for modeling the chemical bond will be discussed.